7x(-3x-11)(137-x)=0

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Solution for 7x(-3x-11)(137-x)=0 equation: 


Simplifying
7x(-3x + -11)(137 + -1x) = 0

Reorder the terms:
7x(-11 + -3x)(137 + -1x) = 0

Multiply (-11 + -3x) * (137 + -1x)
7x(-11(137 + -1x) + -3x * (137 + -1x)) = 0
7x((137 * -11 + -1x * -11) + -3x * (137 + -1x)) = 0
7x((-1507 + 11x) + -3x * (137 + -1x)) = 0
7x(-1507 + 11x + (137 * -3x + -1x * -3x)) = 0
7x(-1507 + 11x + (-411x + 3x2)) = 0

Combine like terms: 11x + -411x = -400x
7x(-1507 + -400x + 3x2) = 0
(-1507 * 7x + -400x * 7x + 3x2 * 7x) = 0
(-10549x + -2800x2 + 21x3) = 0

Solving
-10549x + -2800x2 + 21x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-1507 + -400x + 3x2) = 0

Factor a trinomial.
7x((-11 + -3x)(137 + -1x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 3
Set the factor '(137 + -1x)' equal to zero and attempt to solve:

Simplifying
137 + -1x = 0

Solving
137 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-137' to each side of the equation.
137 + -137 + -1x = 0 + -137

Combine like terms: 137 + -137 = 0
0 + -1x = 0 + -137
-1x = 0 + -137

Combine like terms: 0 + -137 = -137
-1x = -137

Divide each side by '-1'.
x = 137

Simplifying
x = 137
Solution
x = {0, -3.666666667, 137}

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